Actions of amenable groups and crossed products of Z-absorbing C*-algebras

Published 27 Dec 2016 in math.OA | (1612.08529v1)

Abstract: We study actions of countable discrete amenable groups on unital separable simple nuclear Z-absorbing C*-algebras. Under a certain assumption on tracial states, which is automatically satisfied in the case of a unique tracial state, the crossed product is shown to absorb the Jiang-Su algebra Z tensorially.

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Yasuhiko Sato

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